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Simplifying 2x + 10 = 0.5(5x + -10) Reorder the terms: 10 + 2x = 0.5(5x + -10) Reorder the terms: 10 + 2x = 0.5(-10 + 5x) 10 + 2x = (-10 * 0.5 + 5x * 0.5) 10 + 2x = (-5 + 2.5x) Solving 10 + 2x = -5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 10 + 2x + -2.5x = -5 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x 10 + -0.5x = -5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 10 + -0.5x = -5 + 0.0 10 + -0.5x = -5 Add '-10' to each side of the equation. 10 + -10 + -0.5x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5x = -5 + -10 -0.5x = -5 + -10 Combine like terms: -5 + -10 = -15 -0.5x = -15 Divide each side by '-0.5'. x = 30 Simplifying x = 30
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